Least Common Multiple of 332/68, 701/96, 518/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 332/68, 701/96, 518/354 quickly i.e. 30138794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/68, 701/96, 518/354 is 30138794.

LCM(332/68, 701/96, 518/354) = 30138794

LCM of 332/68, 701/96, 518/354

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 332/68,701/96,518/354

Given numbers are 332/68,701/96,518/354

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 332,701,518

Least Common Multiple of Numerators i.e. LCM of 332,701,518 is 60277588.

GCF of Denominators means GCF of 68,96,354 as per the given fractions.

GCF of 68,96,354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,701,518

LCM of Fractions 332/68,701/96,518/354 is 30138794

2 332, 701, 518
166, 701, 259

∴ So the LCM of the given numbers is 2 x 166 x 701 x 259 = 60277588

Least Common Multiple of 332,701,518 with GCF Formula

Least Common Multiple of 332,701,518 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 332,701,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,701,518) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(332,701,518) x common factors =1 x 2 = 2

LCM(332,701,518) = ( 332 × 701 × 518 ) / 2

LCM(332,701,518) = 120555176 / 2

LCM(332,701,518) = 60277588


Lets's calculate GCF of 68,96,354

2 68, 96, 354
34, 48, 177

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60277588/2

Therefore the LCM of Fractions 332/68,701/96,518/354 is 30138794

Greatest Common Factor of 68,96,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,96,354 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 68,96,354 . The biggest common factor number is the GCF number.
So the greatest common factor 68,96,354 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 332/68, 701/96, 518/354

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 332/68, 701/96, 518/354?

Answer: LCM of Numerators as per given numbers 332/68, 701/96, 518/354 is

LCM of Numerators i.e. for 332,701,518 is 60277588

GCF of denominators i.e. for 68,96,354 is 2.

Thus, LCM of Fractions is 30138794.Finally, LCM of Fractions for 332/68, 701/96, 518/354 is 30138794.